102 citations · 124 across the 13 of their papers we have counts for
18 papers
Boolean models
Daniel Hug, Günter Last, Wolfgang Weil
The topic of this survey are geometric functionals of a Boolean model (in Euclidean space) governed by a stationary Poisson process of convex grains. The Boolean model is a fundame…
General volumes in the Orlicz-Brunn-Minkowski theory and a related Minkowski Problem I
Richard J. Gardner, Daniel Hug, Wolfgang Weil +2
The general volume of a star body, a notion that includes the usual volume, the th dual volumes, and many previous types of dual mixed volumes, is introduced. A corresponding ne…
Determination of Boolean models by mean values of mixed volumes
Daniel Hug, Wolfgang Weil
In Weil (2001) formulas were proved for stationary Boolean models in with convex or polyconvex grains, which express the densities of mixed volumes of in ter…
Grassmann measures of convex bodies
Wolfgang Weil
Flag measures are descriptors of convex bodies in -dimensional Euclidean space generalizing the classical area measures. They have been used to provide general integral form…
Flag representations of mixed volumes and mixed functionals of convex bodies
Daniel Hug, Jan Rataj, Wolfgang Weil
Mixed volumes of convex bodies in Euclidean space are of central importance in the Brunn-Minkowski theory. Representations for m…
Valuations and Boolean Models
Julia Hörrmann, Wolfgang Weil
Valuations, as additive functionals, allow various applications in Stochastic Geometry, yielding mean value formulas for specific random closed sets and processes of convex or poly…